We define a notion of formula schema handling arithmetic parameters, indexed propositional variables (e.g. Pi) and iterated conjunctions/disjunctions (e.g. Vn i=1 Pi, where n is a...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
The language of the basic logic of proofs extends the usual propositional language by forming sentences of the sort x is a proof of F for any sentence F. In this paper a complete ...
Abstract. We introduce a tree-sequent calculus for inquisitive logic (Groenendijk 2008) as a special form of labelled deductive system (Gabbay 1996). In particular, we establish th...
G¨odel’s completeness theorem is concerned with provability, while Girard’s theorem in ludics (as well as full completeness theorems in game semantics) are concerned with proo...